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Finding the Fourth Proportional to 7,083.28, 9,772.54 and 5,065

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Solution

The fourth proportional to 7,083.28, 9,772.54 and 5,065 is: 6,987.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.28 : 9,772.54 = 5,065 : x
  2. Step 2: Convert to fraction form
    7,083.28/9,772.54 = 5,065/x
  3. Step 3: Cross multiply
    7,083.28x = 9,772.54 × 5,065
  4. Step 4: Simplify right side
    7,083.28x = 49,497,915.10
  5. Step 5: Solve for x
    x = 49,497,915.10/7,083.28
  6. Step 6: Final answer
    x = 6,987.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.